V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the ...

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Arc sin -+ Arccos =0 y y

A: Given that sin-1xy+cos-1xy=0find dydx

Q: 3. (а) х-ахis (b) y-axis y-4-

A:

Q: Find the slope of the line tangent to the curve x + sin(y+π) = 2x3 + ey at the point (-1,0). Show wo...

A: Topic:- application of derivatives

Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

A:

Q: cof), 5T Cos What is the exact value of 4

A: Find the exact value of cos(-5π/4)

Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: Find the horizontal asymptote(s) of the function _P(z) f (x) where p (x) = 11,² – a – 2 and q (x) = ...

A: Given:      fx=pxqx  where px=11x2-x-2              qx=10x4-3x then fx=11x2-x-210x4-3x    Line y=L i...

Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

Q: y = Arc tan Vx

A:

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: O Find All the ASymploles of the Cerve 3x3 +22y-7ay²+2y"-14x4+7y²+4x+5 =0-

A: Total Asymptods are 3 . 

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...

Q: y = x, y = 3x; about the y-axis

A:

Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1

A: Given: y''-3y'+2y=2x2+1 So, we can also write as: D2-3D+2y=2x2+1 So, the auxiliary equation is: m2-3...

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

A:

Q: Let r(t)=(t+1)i+((t^2)−1/(t−1))j+sin⁡(−2πt)k. Then limt→1r(t)=

A:

Q: Country Population Size Number of Eggs Consumed Number of Cattle Area United States 325 millio...

A:

Q: Find an equation of the tangent to the curve

A: Given that: x=tcost and y=tsint

Q: Question Evaluate the following limit using L'Hospital's rule. (푸)( lim (cos(6æ))

A: We will solve the given limit by L' Hospital rule

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given that: limn→∞nne-8n

Q: Find the derivative of a function f(x)=(x^2+1)^3 (2x−1)^4 f ' (1) = ____

A:

Q: xdx 2. 3-x

A:

Q: 5. Consider the graph of f (x) shown. Does the lim f (x) exist? Is the function continuous at x=3? E...

A: This question is related to limit and continuity,  we will solve it using given information. 

Q: to, thenk is15 not a - andly-k) 5/15 not a If fQ) =0,thvnk 5/5 not cs ond Oxok) Is/15 not a

A: The Remainder theorem says that if a polynomial P(x) is divided by (x-a) then remainder obtained is ...

Q: Find The Area Enclosed by the Curve x=7²-2t,y-VE and the Y-pris

A:

Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

A:

Q: 12. Use the factor Hheveto determine whether x-C Isa fultol. offd.

A: (11). The given function is: f(x)=x4+8x3+12x2 ;       x+1

Q: 30. 7/3 tan'x sec'x dx

A:

Q: ese()2 TT csc 6 ? What is the exact value of

A:

Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

Q: Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2) = 31.

A: This question is related to function and their derivatives.

Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

A: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

Q: 40. Working Mothers The percentage of mothers who work outside the home and have children younger th...

A:

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

A:

Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points ...

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval ...

Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Uploa...

A:

Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...

Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

A:

Q: Solve in detailed solution A. Í (4x³+x) v4x²+1dx B. (x+2) Vx+3dx

A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...

Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

A:

Q: 3. y'= 1t 3y tan x

A:

Q: f y=x^5, then y’=

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: The point (-3,0) is the single x-intercept for the function f(x). The corresponding x-intercept for ...

A:

Q: Are the rational numbers closed under addition? Choose the correct answer below. Yes O No

A: Given question :-  Are the rational numbers closed under addition ?  

Q: Find the following limit. Enter dne if the limit does not exist and fractions should be entered in t...

A:

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and contain...

A:

Q: T if the statement is true; otherwise, write F. (x) =, lim f(x) = f(2) %3D %3D x2 6+4t 3 t2+1f(-3) F...

A: